Topological Design of Three-Dimensional Microstructure Based on Homogenization Effective Method

Abstract

Nowadays, the topology optimization method is extensively adopted for the design of
material microstructures to achieve desired behaviors. The present work is concerned with the
optimal design of the stiffness and thermal conductivity of 3D microstructure unit cells with the
specific material volume fraction in conjunction with the homogenization method and the finite
element method. Numerical examples are given to demonstrate that optimal material layouts are
successfully achieved and the initial layout has a great effect on the optimal microstructure.